Practice30Create account

Three runners start together on a 1.2 km circular track and run the same way at 2 m/s, 4 m/s and 5.5 m/s. After how long will all three first be together again anywhere on the track?

Competition practiceRaces & Circular Tracks
  • A40 min
  • B20 min
  • C10 min
  • D60 min

Step-by-Step Solution

Pairwise gaps close at 2, 1.5 and 3.5 m/s, so pairs meet every s, s and s. The first common time is LCM(600, 800) = 2400 s, which is also . 2400 s = 40 min.
Answer: A) 40 min

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Races & Circular Tracks practice questions

More Races & Circular Tracks practice

Two friends start from the same point of a 500 m circular track and walk in opposite…Two cyclists ride the same way round a 900 m circular track at 6 m/s and 9 m/s, starting…Rahul beats Mohan by 50 m in a 1 km race. Rahul's finishing time is 190 s. How long does…In a 400 m race A beats B by 16 seconds. B runs at 5 m/s. What is A's time for the race?Gaurav can run 300 m in 45 s and Sameer can run it in 50 s. By how many metres does…